27989280 has 384 divisors, whose sum is σ = 116121600. Its totient is φ = 6220800.

The previous prime is 27989251. The next prime is 27989287. The reversal of 27989280 is 8298972.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27989287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902865 + ... + 902895.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^27989280 is an apocalyptic number.

27989280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

27989280 is an abundant number, since it is smaller than the sum of its proper divisors (88132320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27989280 is a wasteful number, since it uses less digits than its factorization.

27989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 27989280 is about 5290.4895803697. The cubic root of 27989280 is about 303.6201395817.

It can be divided in two parts, 279892 and 80, that added together give a palindrome (279972).

The spelling of 27989280 in words is "twenty-seven million, nine hundred eighty-nine thousand, two hundred eighty".